GMAT Changed on April 16th - Read about the latest changes here

It is currently 24 May 2018, 03:21

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

When the lengths of two opposite sides of a square garden

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Intern
Intern
avatar
Joined: 27 Feb 2013
Posts: 6
Schools: Tepper '17 (II)
GMAT ToolKit User
When the lengths of two opposite sides of a square garden [#permalink]

Show Tags

New post 27 Jun 2014, 13:16
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

74% (01:04) correct 26% (01:15) wrong based on 253 sessions

HideShow timer Statistics

When the lengths of two opposite sides of a square garden were increased by x meters each and the lengths of the other two sides were decreased by x meters each, the area of the new garden was 64 square meters. What was the area of the original square garden?

(1) The area of the new garden was 80 percent of the area of the original square garden
(2) x = 4
Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45333
Re: When the lengths of two opposite sides of a square garden [#permalink]

Show Tags

New post 27 Jun 2014, 13:56
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
When the lengths of two opposite sides of a square garden were increased by x meters each and the lengths of the other two sides were decreased by x meters each, the area of the new garden was 64 square meters. What was the area of the original square garden?

Let the side of the original square be a. We are given that the area of the new garden was (a - x)(a + x) = a^2 - x^2 = 64.

We want to find the area of the original square, so the value of a^2.

(1) The area of the new garden was 80 percent of the area of the original square garden --> 64 = 0.8a^2 --> a^2 = 80. Sufficient.

(2) x = 4 --> a^2 - 4^2 = 64 --> a^2 = 80. Sufficient.

Answer: D.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 06 Jan 2014
Posts: 2
GMAT Date: 07-23-2014
Re: When the lengths of two opposite sides of a square garden [#permalink]

Show Tags

New post 05 Jul 2014, 23:03
Bunuel - How do we know that the reduced figure is a rectangle. It might even be a parallelogram where the opposite sides of the square are increased in opposite direction and the other opposite sides are reduced in the opposite direction.

Hope I am able to explain the situation :roll:
Senior Manager
Senior Manager
User avatar
Joined: 13 Jun 2013
Posts: 277
Premium Member
Re: When the lengths of two opposite sides of a square garden [#permalink]

Show Tags

New post 06 Jul 2014, 02:31
rajmegaurav wrote:
Bunuel - How do we know that the reduced figure is a rectangle. It might even be a parallelogram where the opposite sides of the square are increased in opposite direction and the other opposite sides are reduced in the opposite direction.

Hope I am able to explain the situation :roll:


hi, because each internal angle of the square is 90, therefore the new figure will also have the same internal angle of 90 degrees each, that is why the new figure is rectangle and not a parallelogram.
Director
Director
User avatar
P
Joined: 29 Jun 2017
Posts: 504
GPA: 4
WE: Engineering (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: When the lengths of two opposite sides of a square garden [#permalink]

Show Tags

New post 10 Sep 2017, 23:02
A initial area and y be original side
AreaA y^2
(y+x)(y-x)=64
1) New area is 0.8 of A
64=0.8A
Sufficient

2) x=4

(y+x)(y-x)=64
Then y can be calculated

Therefore sufficient.

D is answer


Sent from my iPhone using GMAT Club Forum
_________________

Give Kudos for correct answer and/or if you like the solution.

Re: When the lengths of two opposite sides of a square garden   [#permalink] 10 Sep 2017, 23:02
Display posts from previous: Sort by

When the lengths of two opposite sides of a square garden

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.